A flexible fixture system for a CNC machine is coupled to a base fixture. The flexible fixture includes quick connects that connect with the base fixture in order to allow hydraulic fluid, air, and water to be communicated from the base fixture to the flexible fixture system. The flexible fixture system includes features operable to hold a workpiece within the CNC machine. The flexible fixture system is modular and may be swapped out for a different flexible fixture in order to allow other operations to be performed on the workpiece.